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Finding the Third Proportional to 2,722 and 3,082

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Solution

The third proportional to 2,722 and 3,082 is: 3,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722 : 3,082 = 3,082 : x
  2. Step 2: Convert to fraction form
    2,722/3,082 = 3,082/x
  3. Step 3: Cross multiply
    2,722x = 3,082 × 3,082
  4. Step 4: Simplify right side
    2,722x = 9,498,724
  5. Step 5: Solve for x
    x = 9,498,724/2,722
  6. Step 6: Final answer
    x = 3,489.61

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.